34900992 has 132 divisors (see below), whose sum is σ = 115385296. Its totient is φ = 9953280.

The previous prime is 34900991. The next prime is 34901003. The reversal of 34900992 is 29900943.

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

It is not an unprimeable number, because it can be changed into a prime (34900991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64242 + ... + 64782.

Almost surely, 2^34900992 is an apocalyptic number.

34900992 is a gapful number since it is divisible by the number (32) 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 34900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692648).

34900992 is an abundant number, since it is smaller than the sum of its proper divisors (80484304).

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

34900992 is a wasteful number, since it uses less digits than its factorization.

34900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 34900992 is about 5907.7061538299. The cubic root of 34900992 is about 326.7978999769.

The spelling of 34900992 in words is "thirty-four million, nine hundred thousand, nine hundred ninety-two".