3538801610400 has 576 divisors, whose sum is σ = 13523134464000. Its totient is φ = 786933964800.

The previous prime is 3538801610299. The next prime is 3538801610411. The reversal of 3538801610400 is 40161088353.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252782601 + ... + 252796599.

It is an arithmetic number, because the mean of its divisors is an integer number (23477664000).

Almost surely, 2^{3538801610400} is an apocalyptic number.

3538801610400 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 3538801610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761567232000).

3538801610400 is an abundant number, since it is smaller than the sum of its proper divisors (9984332853600).

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

3538801610400 is a wasteful number, since it uses less digits than its factorization.

3538801610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14437 (or 14424 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 3538801610400 its reverse (40161088353), we get a palindrome (3578962698753).

The spelling of 3538801610400 in words is "three trillion, five hundred thirty-eight billion, eight hundred one million, six hundred ten thousand, four hundred".