3545126204400 has 180 divisors, whose sum is σ = 13420988535240. Its totient is φ = 859424524800.

The previous prime is 3545126204383. The next prime is 3545126204407. The reversal of 3545126204400 is 44026215453.

3545126204400 is a `hidden beast` number, since 3 + 5 + 45 + 1 + 2 + 6 + 204 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545126204407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44722095 + ... + 44801294.

It is an arithmetic number, because the mean of its divisors is an integer number (74561047418).

Almost surely, 2^{3545126204400} is an apocalyptic number.

3545126204400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3545126204400 is an abundant number, since it is smaller than the sum of its proper divisors (9875862330840).

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

3545126204400 is a wasteful number, since it uses less digits than its factorization.

3545126204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89523424 (or 89523410 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 3545126204400 in words is "three trillion, five hundred forty-five billion, one hundred twenty-six million, two hundred four thousand, four hundred".