3846155258736 has 1200 divisors, whose sum is σ = 14154468118560. Its totient is φ = 1001722982400.

The previous prime is 3846155258707. The next prime is 3846155258741. The reversal of 3846155258736 is 6378525516483.

3846155258736 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 1 + 552 + 5 + 8 + 73 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4508974086 + ... + 4508974938.

Almost surely, 2^{3846155258736} is an apocalyptic number.

3846155258736 is a gapful number since it is divisible by the number (36) 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 3846155258736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077234059280).

3846155258736 is an abundant number, since it is smaller than the sum of its proper divisors (10308312859824).

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

3846155258736 is a wasteful number, since it uses less digits than its factorization.

3846155258736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1022 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 3846155258736 in words is "three trillion, eight hundred forty-six billion, one hundred fifty-five million, two hundred fifty-eight thousand, seven hundred thirty-six".