3550038710400 has 2016 divisors, whose sum is σ = 16478695491300. Its totient is φ = 748705628160.

The previous prime is 3550038710359. The next prime is 3550038710419. The reversal of 3550038710400 is 40178300553.

3550038710400 is a `hidden beast` number, since 3 + 550 + 0 + 38 + 71 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 318068928576 + 3231969781824 = 563976^2 + 1797768^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1485992406 + ... + 1485994794.

Almost surely, 2^{3550038710400} is an apocalyptic number.

3550038710400 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 3550038710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239347745650).

3550038710400 is an abundant number, since it is smaller than the sum of its proper divisors (12928656780900).

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

3550038710400 is a wasteful number, since it uses less digits than its factorization.

3550038710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 3550038710400 in words is "three trillion, five hundred fifty billion, thirty-eight million, seven hundred ten thousand, four hundred".