3621345156576 has 1440 divisors, whose sum is σ = 14039560846080. Its totient is φ = 891405803520.

The previous prime is 3621345156529. The next prime is 3621345156587. The reversal of 3621345156576 is 6756515431263.

3621345156576 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 3 + 4 + 5 + 1 + 565 + 76 = 666.

It is a super-2 number, since 2×3621345156576² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5631951711 + ... + 5631952353.

It is an arithmetic number, because the mean of its divisors is an integer number (9749695032).

Almost surely, 2^{3621345156576} is an apocalyptic number.

3621345156576 is a gapful number since it is divisible by the number (36) 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 3621345156576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019780423040).

3621345156576 is an abundant number, since it is smaller than the sum of its proper divisors (10418215689504).

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

3621345156576 is a wasteful number, since it uses less digits than its factorization.

3621345156576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 722 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 3621345156576 in words is "three trillion, six hundred twenty-one billion, three hundred forty-five million, one hundred fifty-six thousand, five hundred seventy-six".