3743264920 has 128 divisors (see below), whose sum is σ = 8801654400. Its totient is φ = 1431945216.

The previous prime is 3743264887. The next prime is 3743264923. The reversal of 3743264920 is 294623473.

It is a super-2 number, since 2×3743264920² = 28024064522605212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3743264923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22414677 + ... + 22414843.

It is an arithmetic number, because the mean of its divisors is an integer number (68762925).

Almost surely, 2^3743264920 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 3743264920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400827200).

3743264920 is an abundant number, since it is smaller than the sum of its proper divisors (5058389480).

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

3743264920 is a wasteful number, since it uses less digits than its factorization.

3743264920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3743264920 is about 61182.2271578928. The cubic root of 3743264920 is about 1552.6855862772.

The spelling of 3743264920 in words is "three billion, seven hundred forty-three million, two hundred sixty-four thousand, nine hundred twenty".