3214574700480 has 1792 divisors, whose sum is σ = 14564574904320. Its totient is φ = 655058534400.

The previous prime is 3214574700461. The next prime is 3214574700517. The reversal of 3214574700480 is 840074754123.

3214574700480 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 574 + 70 + 0 + 4 + 8 + 0 = 666.

3214574700480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3214574700480³ (a number of 38 digits) contains 333 as substring.

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 255 ways as a sum of consecutive naturals, for example, 651116572 + ... + 651121508.

It is an arithmetic number, because the mean of its divisors is an integer number (8127552960).

Almost surely, 2^{3214574700480} is an apocalyptic number.

3214574700480 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 3214574700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282287452160).

3214574700480 is an abundant number, since it is smaller than the sum of its proper divisors (11350000203840).

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

3214574700480 is a wasteful number, since it uses less digits than its factorization.

3214574700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 3214574700480 in words is "three trillion, two hundred fourteen billion, five hundred seventy-four million, seven hundred thousand, four hundred eighty".