34585093373400 has 120 divisors (see below), whose sum is σ = 120119153059620. Its totient is φ = 9222691561920.

The previous prime is 34585093373393. The next prime is 34585093373431. The reversal of 34585093373400 is 437339058543.

34585093373400 is a `hidden beast` number, since 3 + 4 + 5 + 85 + 0 + 93 + 3 + 73 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34585093373400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1067424954 + ... + 1067457353.

Almost surely, 2^{34585093373400} is an apocalyptic number.

34585093373400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34585093373400 is an abundant number, since it is smaller than the sum of its proper divisors (85534059686220).

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

34585093373400 is a wasteful number, since it uses less digits than its factorization.

34585093373400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134882335 (or 2134882317 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 34585093373400 in words is "thirty-four trillion, five hundred eighty-five billion, ninety-three million, three hundred seventy-three thousand, four hundred".