3672045651120 has 1920 divisors, whose sum is σ = 15802124599296. Its totient is φ = 687329280000.

The previous prime is 3672045651083. The next prime is 3672045651161. The reversal of 3672045651120 is 211565402763.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16176412447 + ... + 16176412673.

Almost surely, 2^{3672045651120} is an apocalyptic number.

3672045651120 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 3672045651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901062299648).

3672045651120 is an abundant number, since it is smaller than the sum of its proper divisors (12130078948176).

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

3672045651120 is a wasteful number, since it uses less digits than its factorization.

3672045651120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 3672045651120 in words is "three trillion, six hundred seventy-two billion, forty-five million, six hundred fifty-one thousand, one hundred twenty".