34801152 has 80 divisors (see below), whose sum is σ = 93952320. Its totient is φ = 11446272.

The previous prime is 34801099. The next prime is 34801183. The reversal of 34801152 is 25110843.

It is a super-2 number, since 2×34801152² = 2422240361054208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213423 + ... + 213585.

It is an arithmetic number, because the mean of its divisors is an integer number (1174404).

Almost surely, 2^34801152 is an apocalyptic number.

34801152 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 34801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46976160).

34801152 is an abundant number, since it is smaller than the sum of its proper divisors (59151168).

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

34801152 is a wasteful number, since it uses less digits than its factorization.

34801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 34801152 is about 5899.2501218375. The cubic root of 34801152 is about 326.4859827303.

Adding to 34801152 its reverse (25110843), we get a palindrome (59911995).

The spelling of 34801152 in words is "thirty-four million, eight hundred one thousand, one hundred fifty-two".