3750416640 has 360 divisors, whose sum is σ = 13662672408. Its totient is φ = 982056960.

The previous prime is 3750416627. The next prime is 3750416641. The reversal of 3750416640 is 466140573.

It is a happy number.

3750416640 is a `hidden beast` number, since 3 + 7 + 5 + 0 + 4 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 3727835136 = 4752^2 + 61056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 3750416595 and 3750416604.

It is not an unprimeable number, because it can be changed into a prime (3750416641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6324184 + ... + 6324776.

Almost surely, 2^3750416640 is an apocalyptic number.

3750416640 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 3750416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831336204).

3750416640 is an abundant number, since it is smaller than the sum of its proper divisors (9912255768).

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

3750416640 is an equidigital number, since it uses as much as digits as its factorization.

3750416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3750416640 is about 61240.6453264497. The cubic root of 3750416640 is about 1553.6737885062.

The spelling of 3750416640 in words is "three billion, seven hundred fifty million, four hundred sixteen thousand, six hundred forty".