3564914976 has 384 divisors, whose sum is σ = 12695961600. Its totient is φ = 962419968.

The previous prime is 3564914971. The next prime is 3564914999. The reversal of 3564914976 is 6794194653.

3564914976 is a `hidden beast` number, since 3 + 5 + 64 + 91 + 497 + 6 = 666.

It is a super-2 number, since 2×3564914976² = 25417237572218161152, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3564914971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9307681 + ... + 9308063.

It is an arithmetic number, because the mean of its divisors is an integer number (33062400).

Almost surely, 2^3564914976 is an apocalyptic number.

3564914976 is a gapful number since it is divisible by the number (36) 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 3564914976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347980800).

3564914976 is an abundant number, since it is smaller than the sum of its proper divisors (9131046624).

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

3564914976 is an equidigital number, since it uses as much as digits as its factorization.

3564914976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3564914976 is about 59706.9089469552. The cubic root of 3564914976 is about 1527.6237160849.

It can be divided in two parts, 35649 and 14976, that added together give a 4-th power (50625 = 15⁴).

The spelling of 3564914976 in words is "three billion, five hundred sixty-four million, nine hundred fourteen thousand, nine hundred seventy-six".