34629148560 has 160 divisors (see below), whose sum is σ = 109673194752. Its totient is φ = 9036195840.

The previous prime is 34629148553. The next prime is 34629148571. The reversal of 34629148560 is 6584192643.

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 31 ways as a sum of consecutive naturals, for example, 2878077 + ... + 2890083.

Almost surely, 2^34629148560 is an apocalyptic number.

34629148560 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 34629148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54836597376).

34629148560 is an abundant number, since it is smaller than the sum of its proper divisors (75044046192).

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

34629148560 is a wasteful number, since it uses less digits than its factorization.

34629148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 34629148560 in words is "thirty-four billion, six hundred twenty-nine million, one hundred forty-eight thousand, five hundred sixty".