34728960 has 352 divisors, whose sum is σ = 141488640. Its totient is φ = 7077888.

The previous prime is 34728931. The next prime is 34728961. The reversal of 34728960 is 6982743.

34728960 = 557² + 558² + ... + 651².

It is a super-2 number, since 2×34728960² = 2412201325363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34728961) 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, 1827831 + ... + 1827849.

Almost surely, 2^34728960 is an apocalyptic number.

34728960 is a gapful number since it is divisible by the number (30) 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 34728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744320).

34728960 is an abundant number, since it is smaller than the sum of its proper divisors (106759680).

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

34728960 is a wasteful number, since it uses less digits than its factorization.

34728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 34728960 is about 5893.1282015582. The cubic root of 34728960 is about 326.2600707392.

The spelling of 34728960 in words is "thirty-four million, seven hundred twenty-eight thousand, nine hundred sixty".