3756761538348 has 192 divisors, whose sum is σ = 12024501027840. Its totient is φ = 883432562688.

The previous prime is 3756761538337. The next prime is 3756761538359. The reversal of 3756761538348 is 8438351676573.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3756761538337) and next prime (3756761538359).

It is a super-2 number, since 2×3756761538348² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4972761 + ... + 5678192.

It is an arithmetic number, because the mean of its divisors is an integer number (62627609520).

Almost surely, 2^{3756761538348} is an apocalyptic number.

3756761538348 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3756761538348 is an abundant number, since it is smaller than the sum of its proper divisors (8267739489492).

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

3756761538348 is a wasteful number, since it uses less digits than its factorization.

3756761538348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10651016 (or 10651014 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 66.

The spelling of 3756761538348 in words is "three trillion, seven hundred fifty-six billion, seven hundred sixty-one million, five hundred thirty-eight thousand, three hundred forty-eight".