34945992 has 80 divisors (see below), whose sum is σ = 98736000. Its totient is φ = 11547360.

The previous prime is 34945979. The next prime is 34946011. The reversal of 34945992 is 29954943.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128817 + ... + 129087.

It is an arithmetic number, because the mean of its divisors is an integer number (1234200).

Almost surely, 2^34945992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34945992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368000).

34945992 is an abundant number, since it is smaller than the sum of its proper divisors (63790008).

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

34945992 is a wasteful number, since it uses less digits than its factorization.

34945992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 34945992 is about 5911.5135117836. The cubic root of 34945992 is about 326.9382932128.

It can be divided in two parts, 34945 and 992, that added together give a cube (35937 = 33³).

The spelling of 34945992 in words is "thirty-four million, nine hundred forty-five thousand, nine hundred ninety-two".