3736411560 has 384 divisors, whose sum is σ = 14822496000. Its totient is φ = 797257728.

The previous prime is 3736411559. The next prime is 3736411573. The reversal of 3736411560 is 651146373.

3736411560 is a `hidden beast` number, since 3 + 7 + 3 + 641 + 1 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3494706 + ... + 3495774.

It is an arithmetic number, because the mean of its divisors is an integer number (38600250).

Almost surely, 2^3736411560 is an apocalyptic number.

3736411560 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 3736411560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411248000).

3736411560 is an abundant number, since it is smaller than the sum of its proper divisors (11086084440).

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

3736411560 is a wasteful number, since it uses less digits than its factorization.

3736411560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3736411560 is about 61126.1937306749. The cubic root of 3736411560 is about 1551.7374287883.

The spelling of 3736411560 in words is "three billion, seven hundred thirty-six million, four hundred eleven thousand, five hundred sixty".