3450714664320 has 3072 divisors, whose sum is σ = 16332585984000. Its totient is φ = 649909370880.

The previous prime is 3450714664289. The next prime is 3450714664373. The reversal of 3450714664320 is 234664170543.

3450714664320 is a `hidden beast` number, since 3 + 450 + 71 + 46 + 64 + 32 + 0 = 666.

3450714664320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32249669707 + ... + 32249669813.

It is an arithmetic number, because the mean of its divisors is an integer number (5316597000).

Almost surely, 2^{3450714664320} is an apocalyptic number.

3450714664320 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 3450714664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166292992000).

3450714664320 is an abundant number, since it is smaller than the sum of its proper divisors (12881871319680).

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

3450714664320 is a wasteful number, since it uses less digits than its factorization.

3450714664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3450714664320 in words is "three trillion, four hundred fifty billion, seven hundred fourteen million, six hundred sixty-four thousand, three hundred twenty".