3753397440 has 672 divisors, whose sum is σ = 14911303680. Its totient is φ = 892809216.

The previous prime is 3753397433. The next prime is 3753397481. The reversal of 3753397440 is 447933573.

It is a happy number.

3753397440 is a `hidden beast` number, since 3 + 7 + 533 + 9 + 74 + 40 = 666.

3753397440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47511321 + ... + 47511399.

It is an arithmetic number, because the mean of its divisors is an integer number (22189440).

Almost surely, 2^3753397440 is an apocalyptic number.

3753397440 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 3753397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455651840).

3753397440 is an abundant number, since it is smaller than the sum of its proper divisors (11157906240).

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

3753397440 is a wasteful number, since it uses less digits than its factorization.

3753397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 3753397440 is about 61264.9772708682. The cubic root of 3753397440 is about 1554.0852951796.

The spelling of 3753397440 in words is "three billion, seven hundred fifty-three million, three hundred ninety-seven thousand, four hundred forty".