3723519945600 has 1728 divisors, whose sum is σ = 16542655889760. Its totient is φ = 780841451520.

The previous prime is 3723519945539. The next prime is 3723519945661. The reversal of 3723519945600 is 65499153273.

3723519945600 is a `hidden beast` number, since 3 + 7 + 23 + 5 + 1 + 9 + 9 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3723519945539) and next prime (3723519945661).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9982627014 + ... + 9982627386.

Almost surely, 2^{3723519945600} is an apocalyptic number.

3723519945600 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 3723519945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271327944880).

3723519945600 is an abundant number, since it is smaller than the sum of its proper divisors (12819135944160).

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

3723519945600 is a wasteful number, since it uses less digits than its factorization.

3723519945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 3723519945600 in words is "three trillion, seven hundred twenty-three billion, five hundred nineteen million, nine hundred forty-five thousand, six hundred".