3521964780 has 192 divisors, whose sum is σ = 11285084160. Its totient is φ = 911347200.

The previous prime is 3521964779. The next prime is 3521964791. The reversal of 3521964780 is 874691253.

3521964780 is a `hidden beast` number, since 3 + 521 + 9 + 6 + 47 + 80 = 666.

3521964780 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

3521964780 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5999647 + ... + 6000233.

It is an arithmetic number, because the mean of its divisors is an integer number (58776480).

It is a 1-persistent number, because it is pandigital, but 2⋅3521964780 = 7043929560 is not.

Almost surely, 2^3521964780 is an apocalyptic number.

3521964780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3521964780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642542080).

3521964780 is an abundant number, since it is smaller than the sum of its proper divisors (7763119380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3521964780 is a wasteful number, since it uses less digits than its factorization.

3521964780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3521964780 is about 59346.1437668868. The cubic root of 3521964780 is about 1521.4639606357.

It can be divided in two parts, 35219 and 64780, that added together give a palindrome (99999).

The spelling of 3521964780 in words is "three billion, five hundred twenty-one million, nine hundred sixty-four thousand, seven hundred eighty".