3740597640 has 768 divisors, whose sum is σ = 15095808000. Its totient is φ = 793774080.

The previous prime is 3740597639. The next prime is 3740597647. The reversal of 3740597640 is 467950473.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3740597647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63399931 + ... + 63399989.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^3740597640 is an apocalyptic number.

3740597640 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 3740597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

3740597640 is an abundant number, since it is smaller than the sum of its proper divisors (11355210360).

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

3740597640 is a wasteful number, since it uses less digits than its factorization.

3740597640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3740597640 is about 61160.4254399853. The cubic root of 3740597640 is about 1552.3167076505.

The spelling of 3740597640 in words is "three billion, seven hundred forty million, five hundred ninety-seven thousand, six hundred forty".