3758822640 has 240 divisors, whose sum is σ = 13012167168. Its totient is φ = 971841024.

The previous prime is 3758822629. The next prime is 3758822651. The reversal of 3758822640 is 462288573.

3758822640 is a `hidden beast` number, since 3 + 7 + 588 + 2 + 2 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3758822629) and next prime (3758822651).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 5169957 + ... + 5170683.

Almost surely, 2^3758822640 is an apocalyptic number.

3758822640 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 3758822640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506083584).

3758822640 is an abundant number, since it is smaller than the sum of its proper divisors (9253344528).

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

3758822640 is a wasteful number, since it uses less digits than its factorization.

3758822640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3758822640 is about 61309.2378031239. The cubic root of 3758822640 is about 1554.8336984369.

The spelling of 3758822640 in words is "three billion, seven hundred fifty-eight million, eight hundred twenty-two thousand, six hundred forty".