34371691440 has 320 divisors, whose sum is σ = 113824714752. Its totient is φ = 8566272000.

The previous prime is 34371691433. The next prime is 34371691469. The reversal of 34371691440 is 4419617343.

It is a junction number, because it is equal to n+sod(n) for n = 34371691392 and 34371691401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26418790 + ... + 26420090.

Almost surely, 2^34371691440 is an apocalyptic number.

34371691440 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 34371691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56912357376).

34371691440 is an abundant number, since it is smaller than the sum of its proper divisors (79453023312).

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

34371691440 is a wasteful number, since it uses less digits than its factorization.

34371691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 34371691440 in words is "thirty-four billion, three hundred seventy-one million, six hundred ninety-one thousand, four hundred forty".