34899072 has 64 divisors (see below), whose sum is σ = 99845760. Its totient is φ = 10736640.

The previous prime is 34899071. The next prime is 34899089. The reversal of 34899072 is 27099843.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34899072² = 2435890452922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34899071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1497 + ... + 8487.

It is an arithmetic number, because the mean of its divisors is an integer number (1560090).

Almost surely, 2^34899072 is an apocalyptic number.

34899072 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 34899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49922880).

34899072 is an abundant number, since it is smaller than the sum of its proper divisors (64946688).

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

34899072 is a wasteful number, since it uses less digits than its factorization.

34899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 34899072 is about 5907.5436519758. The cubic root of 34899072 is about 326.7919071818.

It can be divided in two parts, 3489 and 9072, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 34899072 in words is "thirty-four million, eight hundred ninety-nine thousand, seventy-two".