3730904064 has 220 divisors, whose sum is σ = 11508528768. Its totient is φ = 1202688000.

The previous prime is 3730904063. The next prime is 3730904069. The reversal of 3730904064 is 4604090373.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730904063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2570539 + ... + 2571989.

Almost surely, 2^3730904064 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 3730904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754264384).

3730904064 is an abundant number, since it is smaller than the sum of its proper divisors (7777624704).

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

3730904064 is a wasteful number, since it uses less digits than its factorization.

3730904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3730904064 is about 61081.1269051251. The cubic root of 3730904064 is about 1550.9746300412.

The spelling of 3730904064 in words is "three billion, seven hundred thirty million, nine hundred four thousand, sixty-four".