34491621212640 has 1536 divisors, whose sum is σ = 129863430144000. Its totient is φ = 8537636929536.

The previous prime is 34491621212639. The next prime is 34491621212767. The reversal of 34491621212640 is 4621212619443.

34491621212640 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 1 + 621 + 2 + 12 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52820246554 + ... + 52820247206.

It is an arithmetic number, because the mean of its divisors is an integer number (84546504000).

Almost surely, 2^{34491621212640} is an apocalyptic number.

34491621212640 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 34491621212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64931715072000).

34491621212640 is an abundant number, since it is smaller than the sum of its proper divisors (95371808931360).

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

34491621212640 is a wasteful number, since it uses less digits than its factorization.

34491621212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34491621212640 in words is "thirty-four trillion, four hundred ninety-one billion, six hundred twenty-one million, two hundred twelve thousand, six hundred forty".