34573552106400 has 1728 divisors, whose sum is σ = 138439579299840. Its totient is φ = 8075693260800.

The previous prime is 34573552106381. The next prime is 34573552106447. The reversal of 34573552106400 is 460125537543.

34573552106400 is a `hidden beast` number, since 3 + 4 + 57 + 3 + 552 + 1 + 0 + 6 + 40 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12494957817 + ... + 12494960583.

It is an arithmetic number, because the mean of its divisors is an integer number (80115497280).

Almost surely, 2^{34573552106400} is an apocalyptic number.

34573552106400 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 34573552106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69219789649920).

34573552106400 is an abundant number, since it is smaller than the sum of its proper divisors (103866027193440).

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

34573552106400 is a wasteful number, since it uses less digits than its factorization.

34573552106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 34573552106400 in words is "thirty-four trillion, five hundred seventy-three billion, five hundred fifty-two million, one hundred six thousand, four hundred".