3516264128400 has 240 divisors, whose sum is σ = 11303066736000. Its totient is φ = 934402682880.

The previous prime is 3516264128393. The next prime is 3516264128401. The reversal of 3516264128400 is 48214626153.

3516264128400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3516264128400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3516264128401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153250076 + ... + 1153253124.

It is an arithmetic number, because the mean of its divisors is an integer number (47096111400).

Almost surely, 2^{3516264128400} is an apocalyptic number.

3516264128400 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 3516264128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651533368000).

3516264128400 is an abundant number, since it is smaller than the sum of its proper divisors (7786802607600).

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

3516264128400 is a wasteful number, since it uses less digits than its factorization.

3516264128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 3516264128400 in words is "three trillion, five hundred sixteen billion, two hundred sixty-four million, one hundred twenty-eight thousand, four hundred".