3521226772800 has 336 divisors, whose sum is σ = 14003102702400. Its totient is φ = 853630617600.

The previous prime is 3521226772799. The next prime is 3521226772801. The reversal of 3521226772800 is 82776221253.

3521226772800 is a `hidden beast` number, since 35 + 212 + 267 + 72 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3521226772799) and next prime (3521226772801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3521226772801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3229795 + ... + 4180194.

It is an arithmetic number, because the mean of its divisors is an integer number (41675900900).

Almost surely, 2^{3521226772800} is an apocalyptic number.

3521226772800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3521226772800 is an abundant number, since it is smaller than the sum of its proper divisors (10481875929600).

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

3521226772800 is a wasteful number, since it uses less digits than its factorization.

3521226772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410031 (or 7410010 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3521226772800 in words is "three trillion, five hundred twenty-one billion, two hundred twenty-six million, seven hundred seventy-two thousand, eight hundred".