34746825120 has 144 divisors (see below), whose sum is σ = 127322381088. Its totient is φ = 7942126080.

The previous prime is 34746825119. The next prime is 34746825209. The reversal of 34746825120 is 2152864743.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715146 + ... + 762185.

It is an arithmetic number, because the mean of its divisors is an integer number (884183202).

Almost surely, 2^34746825120 is an apocalyptic number.

34746825120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34746825120 is an abundant number, since it is smaller than the sum of its proper divisors (92575555968).

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

34746825120 is a wasteful number, since it uses less digits than its factorization.

34746825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477363 (or 1477348 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 34746825120 in words is "thirty-four billion, seven hundred forty-six million, eight hundred twenty-five thousand, one hundred twenty".