3759368640 has 112 divisors (see below), whose sum is σ = 11986260000. Its totient is φ = 998277120.

The previous prime is 3759368531. The next prime is 3759368647. The reversal of 3759368640 is 468639573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3759368647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223236 + ... + 239484.

Almost surely, 2^3759368640 is an apocalyptic number.

3759368640 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 3759368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993130000).

3759368640 is an abundant number, since it is smaller than the sum of its proper divisors (8226891360).

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

3759368640 is a wasteful number, since it uses less digits than its factorization.

3759368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16510 (or 16500 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 3759368640 is about 61313.6904777391. The cubic root of 3759368640 is about 1554.9089789328.

The spelling of 3759368640 in words is "three billion, seven hundred fifty-nine million, three hundred sixty-eight thousand, six hundred forty".