3450811508496 has 225 divisors, whose sum is σ = 10980501136759. Its totient is φ = 1045477540800.

The previous prime is 3450811508453. The next prime is 3450811508531. The reversal of 3450811508496 is 6948051180543.

It is a happy number.

The square root of 3450811508496 is 1857636.

It is a perfect power (a square), and thus also a powerful number.

3450811508496 is a `hidden beast` number, since 3 + 4 + 50 + 81 + 1 + 508 + 4 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 735621511 + ... + 735626201.

Almost surely, 2^{3450811508496} is an apocalyptic number.

3450811508496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3450811508496 is the 1857636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450811508496

3450811508496 is an abundant number, since it is smaller than the sum of its proper divisors (7529689628263).

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

3450811508496 is an frugal number, since it uses more digits than its factorization.

3450811508496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 3450811508496 in words is "three trillion, four hundred fifty billion, eight hundred eleven million, five hundred eight thousand, four hundred ninety-six".