34948800 has 168 divisors, whose sum is σ = 127558800. Its totient is φ = 9308160.

The previous prime is 34948759. The next prime is 34948807. The reversal of 34948800 is 884943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34948807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42796 + ... + 43604.

Almost surely, 2^34948800 is an apocalyptic number.

34948800 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 34948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63779400).

34948800 is an abundant number, since it is smaller than the sum of its proper divisors (92610000).

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

34948800 is a wasteful number, since it uses less digits than its factorization.

34948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34948800 is about 5911.7510096417. The cubic root of 34948800 is about 326.9470497548.

The spelling of 34948800 in words is "thirty-four million, nine hundred forty-eight thousand, eight hundred".