3752334149760 has 1536 divisors, whose sum is σ = 16605304934400. Its totient is φ = 790413852672.

The previous prime is 3752334149623. The next prime is 3752334149761. The reversal of 3752334149760 is 679414332573.

3752334149760 is a `hidden beast` number, since 3 + 7 + 52 + 3 + 3 + 41 + 497 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3752334149697 and 3752334149706.

It is not an unprimeable number, because it can be changed into a prime (3752334149761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 765311469 + ... + 765316371.

It is an arithmetic number, because the mean of its divisors is an integer number (10810745400).

Almost surely, 2^{3752334149760} is an apocalyptic number.

3752334149760 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 3752334149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302652467200).

3752334149760 is an abundant number, since it is smaller than the sum of its proper divisors (12852970784640).

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

3752334149760 is a wasteful number, since it uses less digits than its factorization.

3752334149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 3752334149760 in words is "three trillion, seven hundred fifty-two billion, three hundred thirty-four million, one hundred forty-nine thousand, seven hundred sixty".