34437349632 has 144 divisors (see below), whose sum is σ = 105416700032. Its totient is φ = 9776332800.

The previous prime is 34437349619. The next prime is 34437349669. The reversal of 34437349632 is 23694373443.

It is a super-2 number, since 2×34437349632² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823632 + ... + 864432.

Almost surely, 2^34437349632 is an apocalyptic number.

34437349632 is a gapful number since it is divisible by the number (32) 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 34437349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52708350016).

34437349632 is an abundant number, since it is smaller than the sum of its proper divisors (70979350400).

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

34437349632 is a wasteful number, since it uses less digits than its factorization.

34437349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40984 (or 40970 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 48.

The spelling of 34437349632 in words is "thirty-four billion, four hundred thirty-seven million, three hundred forty-nine thousand, six hundred thirty-two".