2734356038400 has 1296 divisors, whose sum is σ = 11458441612800. Its totient is φ = 609190871040.

The previous prime is 2734356038383. The next prime is 2734356038411. The reversal of 2734356038400 is 48306534372.

2734356038400 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 3 + 560 + 3 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3259065181 + ... + 3259066019.

Almost surely, 2^{2734356038400} is an apocalyptic number.

2734356038400 is a gapful number since it is divisible by the number (20) 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 2734356038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729220806400).

2734356038400 is an abundant number, since it is smaller than the sum of its proper divisors (8724085574400).

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

2734356038400 is a wasteful number, since it uses less digits than its factorization.

2734356038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2734356038400 in words is "two trillion, seven hundred thirty-four billion, three hundred fifty-six million, thirty-eight thousand, four hundred".