34376307840 has 768 divisors, whose sum is σ = 149089075200. Its totient is φ = 7116595200.

The previous prime is 34376307811. The next prime is 34376307841. The reversal of 34376307840 is 4870367343.

34376307840 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 630 + 7 + 8 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34376307841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17618865 + ... + 17620815.

It is an arithmetic number, because the mean of its divisors is an integer number (194126400).

Almost surely, 2^34376307840 is an apocalyptic number.

34376307840 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 34376307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74544537600).

34376307840 is an abundant number, since it is smaller than the sum of its proper divisors (114712767360).

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

34376307840 is a wasteful number, since it uses less digits than its factorization.

34376307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2010 counting only the distinct ones).

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

The spelling of 34376307840 in words is "thirty-four billion, three hundred seventy-six million, three hundred seven thousand, eight hundred forty".