34628825280 has 336 divisors, whose sum is σ = 132028240896. Its totient is φ = 7659509760.

The previous prime is 34628825279. The next prime is 34628825293. The reversal of 34628825280 is 8252882643.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446367 + ... + 1470113.

Almost surely, 2^34628825280 is an apocalyptic number.

34628825280 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 34628825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66014120448).

34628825280 is an abundant number, since it is smaller than the sum of its proper divisors (97399415616).

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

34628825280 is a wasteful number, since it uses less digits than its factorization.

34628825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812 (or 23795 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 34628825280 in words is "thirty-four billion, six hundred twenty-eight million, eight hundred twenty-five thousand, two hundred eighty".