34157862648 has 384 divisors, whose sum is σ = 118659340800. Its totient is φ = 8964297216.

The previous prime is 34157862611. The next prime is 34157862653. The reversal of 34157862648 is 84626875143.

It is a happy number.

34157862648 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 7 + 8 + 626 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34157862594 and 34157862603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51832543 + ... + 51833201.

It is an arithmetic number, because the mean of its divisors is an integer number (309008700).

Almost surely, 2^34157862648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34157862648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59329670400).

34157862648 is an abundant number, since it is smaller than the sum of its proper divisors (84501478152).

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

34157862648 is a wasteful number, since it uses less digits than its factorization.

34157862648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 977 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 34157862648 in words is "thirty-four billion, one hundred fifty-seven million, eight hundred sixty-two thousand, six hundred forty-eight".