34530926400 has 672 divisors, whose sum is σ = 133454851200. Its totient is φ = 8670412800.

The previous prime is 34530926377. The next prime is 34530926431. The reversal of 34530926400 is 462903543.

34530926400 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 0 + 9 + 2 + 640 + 0 = 666.

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

It is a congruent number.

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, 53870080 + ... + 53870720.

Almost surely, 2^34530926400 is an apocalyptic number.

34530926400 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 34530926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66727425600).

34530926400 is an abundant number, since it is smaller than the sum of its proper divisors (98923924800).

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

34530926400 is a wasteful number, since it uses less digits than its factorization.

34530926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34530926400 in words is "thirty-four billion, five hundred thirty million, nine hundred twenty-six thousand, four hundred".