3762958752 has 72 divisors (see below), whose sum is σ = 12229622496. Its totient is φ = 1075130496.

The previous prime is 3762958751. The next prime is 3762958753. The reversal of 3762958752 is 2578592673.

3762958752 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 9 + 587 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3762958751) and next prime (3762958753).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3762958751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931258 + ... + 935289.

It is an arithmetic number, because the mean of its divisors is an integer number (169855868).

Almost surely, 2^3762958752 is an apocalyptic number.

3762958752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3762958752 is an abundant number, since it is smaller than the sum of its proper divisors (8466663744).

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

3762958752 is a wasteful number, since it uses less digits than its factorization.

3762958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866570 (or 1866559 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 3762958752 is about 61342.9600850823. The cubic root of 3762958752 is about 1555.4037890877.

The spelling of 3762958752 in words is "three billion, seven hundred sixty-two million, nine hundred fifty-eight thousand, seven hundred fifty-two".