34376641740 has 144 divisors (see below), whose sum is σ = 119220349248. Its totient is φ = 7854354432.

The previous prime is 34376641711. The next prime is 34376641759. The reversal of 34376641740 is 4714667343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4775584 + ... + 4782776.

It is an arithmetic number, because the mean of its divisors is an integer number (827919092).

Almost surely, 2^34376641740 is an apocalyptic number.

34376641740 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 34376641740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59610174624).

34376641740 is an abundant number, since it is smaller than the sum of its proper divisors (84843707508).

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

34376641740 is a wasteful number, since it uses less digits than its factorization.

34376641740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 34376641740 in words is "thirty-four billion, three hundred seventy-six million, six hundred forty-one thousand, seven hundred forty".