3752149084038 has 80 divisors (see below), whose sum is σ = 8625131166960. Its totient is φ = 1218443731200.

The previous prime is 3752149084007. The next prime is 3752149084039. The reversal of 3752149084038 is 8304809412573.

It is a happy number.

3752149084038 is a `hidden beast` number, since 3 + 7 + 521 + 4 + 9 + 0 + 84 + 0 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3752149084039) 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, 4180858 + ... + 4998386.

It is an arithmetic number, because the mean of its divisors is an integer number (107814139587).

Almost surely, 2^{3752149084038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752149084038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312565583480).

3752149084038 is an abundant number, since it is smaller than the sum of its proper divisors (4872982082922).

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

3752149084038 is a wasteful number, since it uses less digits than its factorization.

3752149084038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818275 (or 818266 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3752149084038 in words is "three trillion, seven hundred fifty-two billion, one hundred forty-nine million, eighty-four thousand, thirty-eight".