3917652480 has 400 divisors, whose sum is σ = 16042276800. Its totient is φ = 895131648.

The previous prime is 3917652469. The next prime is 3917652521. The reversal of 3917652480 is 842567193.

3917652480 is a `hidden beast` number, since 39 + 17 + 6 + 524 + 80 = 666.

3917652480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

3917652480 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1450171 + ... + 1452869.

It is an arithmetic number, because the mean of its divisors is an integer number (40105692).

It is a 1-persistent number, because it is pandigital, but 2⋅3917652480 = 7835304960 is not.

Almost surely, 2^3917652480 is an apocalyptic number.

3917652480 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 3917652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021138400).

3917652480 is an abundant number, since it is smaller than the sum of its proper divisors (12124624320).

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

3917652480 is an equidigital number, since it uses as much as digits as its factorization.

3917652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2716 counting only the distinct ones).

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

The square root of 3917652480 is about 62591.1533685073. The cubic root of 3917652480 is about 1576.4322210293.

The spelling of 3917652480 in words is "three billion, nine hundred seventeen million, six hundred fifty-two thousand, four hundred eighty".