3848290697160 has 3072 divisors, whose sum is σ = 17772289920000. Its totient is φ = 731398864896.

The previous prime is 3848290697131. The next prime is 3848290697183. The reversal of 3848290697160 is 617960928483.

3848290697160 is a `hidden beast` number, since 3 + 8 + 482 + 9 + 0 + 6 + 97 + 1 + 60 = 666.

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 767 ways as a sum of consecutive naturals, for example, 35305419186 + ... + 35305419294.

It is an arithmetic number, because the mean of its divisors is an integer number (5785250625).

Almost surely, 2^{3848290697160} is an apocalyptic number.

3848290697160 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 3848290697160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886144960000).

3848290697160 is an abundant number, since it is smaller than the sum of its proper divisors (13923999222840).

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

3848290697160 is a wasteful number, since it uses less digits than its factorization.

3848290697160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3848290697160 in words is "three trillion, eight hundred forty-eight billion, two hundred ninety million, six hundred ninety-seven thousand, one hundred sixty".