34491378968640 has 560 divisors, whose sum is σ = 133978962237120. Its totient is φ = 8353222225920.

The previous prime is 34491378968611. The next prime is 34491378968663. The reversal of 34491378968640 is 4686987319443.

It is a happy number.

34491378968640 is a `hidden beast` number, since 3 + 4 + 4 + 91 + 378 + 96 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 288766851 + ... + 288886269.

It is an arithmetic number, because the mean of its divisors is an integer number (239248146852).

Almost surely, 2^{34491378968640} is an apocalyptic number.

34491378968640 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 34491378968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66989481118560).

34491378968640 is an abundant number, since it is smaller than the sum of its proper divisors (99487583268480).

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

34491378968640 is a wasteful number, since it uses less digits than its factorization.

34491378968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120472 (or 120453 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 34491378968640 in words is "thirty-four trillion, four hundred ninety-one billion, three hundred seventy-eight million, nine hundred sixty-eight thousand, six hundred forty".