3521787984 has 400 divisors, whose sum is σ = 12381540864. Its totient is φ = 951782400.

The previous prime is 3521787977. The next prime is 3521788003. The reversal of 3521787984 is 4897871253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3521787984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5744862 + ... + 5745474.

Almost surely, 2^3521787984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3521787984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190770432).

3521787984 is an abundant number, since it is smaller than the sum of its proper divisors (8859752880).

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

3521787984 is a wasteful number, since it uses less digits than its factorization.

3521787984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 3521787984 is about 59344.6542158601. The cubic root of 3521787984 is about 1521.4385020011.

It can be divided in two parts, 35217 and 87984, that added together give a square (123201 = 351²).

The spelling of 3521787984 in words is "three billion, five hundred twenty-one million, seven hundred eighty-seven thousand, nine hundred eighty-four".