3706007544 has 96 divisors (see below), whose sum is σ = 10164903840. Its totient is φ = 1219680000.

The previous prime is 3706007509. The next prime is 3706007567. The reversal of 3706007544 is 4457006073.

3706007544 is a `hidden beast` number, since 3 + 7 + 0 + 600 + 7 + 5 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3706007499 and 3706007508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5097309 + ... + 5098035.

It is an arithmetic number, because the mean of its divisors is an integer number (105884415).

Almost surely, 2^3706007544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706007544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082451920).

3706007544 is an abundant number, since it is smaller than the sum of its proper divisors (6458896296).

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

3706007544 is a wasteful number, since it uses less digits than its factorization.

3706007544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3706007544 is about 60876.9869819458. The cubic root of 3706007544 is about 1547.5170157583.

The spelling of 3706007544 in words is "three billion, seven hundred six million, seven thousand, five hundred forty-four".