34749792 has 144 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 9020160.

The previous prime is 34749763. The next prime is 34749829. The reversal of 34749792 is 29794743.

34749792 is a `hidden beast` number, since 3 + 474 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 21393 + ... + 22959.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 2^34749792 is an apocalyptic number.

34749792 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 34749792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

34749792 is an abundant number, since it is smaller than the sum of its proper divisors (88532640).

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

34749792 is a wasteful number, since it uses less digits than its factorization.

34749792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1590 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 34749792 is about 5894.8954189197. The cubic root of 34749792 is about 326.3252928791.

The spelling of 34749792 in words is "thirty-four million, seven hundred forty-nine thousand, seven hundred ninety-two".