3700644480 has 384 divisors, whose sum is σ = 13970895120. Its totient is φ = 897122304.

The previous prime is 3700644449. The next prime is 3700644481. The reversal of 3700644480 is 844460073.

3700644480 is a `hidden beast` number, since 3 + 7 + 0 + 0 + 644 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2297093184 + 1403551296 = 47928^2 + 37464^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3700644481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5465902 + ... + 5466578.

Almost surely, 2^3700644480 is an apocalyptic number.

3700644480 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 3700644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985447560).

3700644480 is an abundant number, since it is smaller than the sum of its proper divisors (10270250640).

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

3700644480 is a wasteful number, since it uses less digits than its factorization.

3700644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3700644480 is about 60832.9226652805. The cubic root of 3700644480 is about 1546.7701707718.

It can be divided in two parts, 370064 and 4480, that added together give a square (374544 = 612²).

The spelling of 3700644480 in words is "three billion, seven hundred million, six hundred forty-four thousand, four hundred eighty".