3757245871680 has 1344 divisors, whose sum is σ = 17177821839360. Its totient is φ = 732418080768.

The previous prime is 3757245871633. The next prime is 3757245871727. The reversal of 3757245871680 is 861785427573.

It is a happy number.

3757245871680 is a `hidden beast` number, since 3 + 7 + 57 + 2 + 458 + 71 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3757245871633) and next prime (3757245871727).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149756097 + ... + 149781183.

It is an arithmetic number, because the mean of its divisors is an integer number (12781117440).

Almost surely, 2^{3757245871680} is an apocalyptic number.

3757245871680 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 3757245871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588910919680).

3757245871680 is an abundant number, since it is smaller than the sum of its proper divisors (13420575967680).

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

3757245871680 is a wasteful number, since it uses less digits than its factorization.

3757245871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25176 (or 25163 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 3757245871680 in words is "three trillion, seven hundred fifty-seven billion, two hundred forty-five million, eight hundred seventy-one thousand, six hundred eighty".