34949772 has 192 divisors, whose sum is σ = 111390720. Its totient is φ = 9331200.

The previous prime is 34949749. The next prime is 34949819. The reversal of 34949772 is 27794943.

34949772 is a `hidden beast` number, since 3 + 494 + 97 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478728 + ... + 478800.

It is an arithmetic number, because the mean of its divisors is an integer number (580160).

Almost surely, 2^34949772 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 34949772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55695360).

34949772 is an abundant number, since it is smaller than the sum of its proper divisors (76440948).

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

34949772 is a wasteful number, since it uses less digits than its factorization.

34949772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

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

The square root of 34949772 is about 5911.8332182158. The cubic root of 34949772 is about 326.9500807562.

It can be divided in two parts, 34949 and 772, that added together give a square (35721 = 189²).

The spelling of 34949772 in words is "thirty-four million, nine hundred forty-nine thousand, seven hundred seventy-two".