3345204582720 has 3360 divisors, whose sum is σ = 16781207788800. Its totient is φ = 600859607040.

The previous prime is 3345204582689. The next prime is 3345204582787. The reversal of 3345204582720 is 272854025433.

3345204582720 is a `hidden beast` number, since 3 + 3 + 4 + 520 + 4 + 58 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×3345204582720² (a number of 26 digits) contains 22 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 479 ways as a sum of consecutive naturals, for example, 16810073181 + ... + 16810073379.

It is an arithmetic number, because the mean of its divisors is an integer number (4994407080).

Almost surely, 2^{3345204582720} is an apocalyptic number.

3345204582720 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 3345204582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390603894400).

3345204582720 is an abundant number, since it is smaller than the sum of its proper divisors (13436003206080).

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

3345204582720 is a wasteful number, since it uses less digits than its factorization.

3345204582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 3345204582720 in words is "three trillion, three hundred forty-five billion, two hundred four million, five hundred eighty-two thousand, seven hundred twenty".