34148763264 has 576 divisors, whose sum is σ = 118587460320. Its totient is φ = 8671703040.

The previous prime is 34148763263. The next prime is 34148763281. The reversal of 34148763264 is 46236784143.

It is a super-2 number, since 2×34148763264² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34148763263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120666867 + ... + 120667149.

Almost surely, 2^34148763264 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 34148763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59293730160).

34148763264 is an abundant number, since it is smaller than the sum of its proper divisors (84438697056).

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

34148763264 is a wasteful number, since it uses less digits than its factorization.

34148763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

It can be divided in two parts, 3414 and 8763264, that added together give a palindrome (8766678).

The spelling of 34148763264 in words is "thirty-four billion, one hundred forty-eight million, seven hundred sixty-three thousand, two hundred sixty-four".