3752663040 has 576 divisors, whose sum is σ = 15573448800. Its totient is φ = 854654976.

The previous prime is 3752663029. The next prime is 3752663051. The reversal of 3752663040 is 403662573.

3752663040 is a `hidden beast` number, since 37 + 526 + 63 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3752663029) and next prime (3752663051).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3752662986 and 3752663004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547382 + ... + 13547658.

Almost surely, 2^3752663040 is an apocalyptic number.

3752663040 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 3752663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786724400).

3752663040 is an abundant number, since it is smaller than the sum of its proper divisors (11820785760).

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

3752663040 is a wasteful number, since it uses less digits than its factorization.

3752663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3752663040 is about 61258.9833412211. The cubic root of 3752663040 is about 1553.9839297096.

The spelling of 3752663040 in words is "three billion, seven hundred fifty-two million, six hundred sixty-three thousand, forty".