3483079315200 has 540 divisors, whose sum is σ = 12926574847648. Its totient is φ = 925356441600.

The previous prime is 3483079315151. The next prime is 3483079315213. The reversal of 3483079315200 is 25139703843.

3483079315200 is a `hidden beast` number, since 3 + 4 + 8 + 30 + 7 + 93 + 1 + 520 + 0 = 666.

3483079315200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 59 ways as a sum of consecutive naturals, for example, 140474004 + ... + 140498796.

Almost surely, 2^{3483079315200} is an apocalyptic number.

3483079315200 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 3483079315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463287423824).

3483079315200 is an abundant number, since it is smaller than the sum of its proper divisors (9443495532448).

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

3483079315200 is a wasteful number, since it uses less digits than its factorization.

3483079315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3483079315200 in words is "three trillion, four hundred eighty-three billion, seventy-nine million, three hundred fifteen thousand, two hundred".