34901136 has 120 divisors (see below), whose sum is σ = 105763320. Its totient is φ = 10702848.

The previous prime is 34901131. The next prime is 34901137. The reversal of 34901136 is 63110943.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 29811600 = 2256^2 + 5460^2 .

It is not an unprimeable number, because it can be changed into a prime (34901131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129610 + ... + 129878.

It is an arithmetic number, because the mean of its divisors is an integer number (881361).

Almost surely, 2^34901136 is an apocalyptic number.

34901136 is a gapful number since it is divisible by the number (36) 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 34901136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52881660).

34901136 is an abundant number, since it is smaller than the sum of its proper divisors (70862184).

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

34901136 is a wasteful number, since it uses less digits than its factorization.

34901136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34901136 is about 5907.7183412888. The cubic root of 34901136 is about 326.7983494276.

The spelling of 34901136 in words is "thirty-four million, nine hundred one thousand, one hundred thirty-six".