34013952 has 288 divisors, whose sum is σ = 124275200. Its totient is φ = 8957952.

The previous prime is 34013951. The next prime is 34014011. The reversal of 34013952 is 25931043.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919278 + ... + 919314.

Almost surely, 2^34013952 is an apocalyptic number.

34013952 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 34013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62137600).

34013952 is an abundant number, since it is smaller than the sum of its proper divisors (90261248).

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

34013952 is a wasteful number, since it uses less digits than its factorization.

34013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34013952 is about 5832.1481462665. The cubic root of 34013952 is about 324.0054868755.

Adding to 34013952 its reverse (25931043), we get a palindrome (59944995).

The spelling of 34013952 in words is "thirty-four million, thirteen thousand, nine hundred fifty-two".