34861152 has 96 divisors (see below), whose sum is σ = 99447264. Its totient is φ = 10649600.

The previous prime is 34861133. The next prime is 34861163. The reversal of 34861152 is 25116843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66652 + ... + 67172.

It is an arithmetic number, because the mean of its divisors is an integer number (1035909).

Almost surely, 2^34861152 is an apocalyptic number.

34861152 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 34861152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723632).

34861152 is an abundant number, since it is smaller than the sum of its proper divisors (64586112).

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

34861152 is a wasteful number, since it uses less digits than its factorization.

34861152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 34861152 is about 5904.3333239240. Note that the first 4 decimals coincide. The cubic root of 34861152 is about 326.6735044152.

Adding to 34861152 its reverse (25116843), we get a palindrome (59977995).

The spelling of 34861152 in words is "thirty-four million, eight hundred sixty-one thousand, one hundred fifty-two".