3850147914624 has 320 divisors, whose sum is σ = 12598081689600. Its totient is φ = 1157520430080.

The previous prime is 3850147914601. The next prime is 3850147914647. The reversal of 3850147914624 is 4264197410583.

3850147914624 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 1 + 4 + 7 + 9 + 1 + 4 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (3850147914601) and next prime (3850147914647).

It is a super-2 number, since 2×3850147914624² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14351187 + ... + 14617005.

It is an arithmetic number, because the mean of its divisors is an integer number (39369005280).

It is a 1-persistent number, because it is pandigital, but 2⋅3850147914624 = 7700295829248 is not.

Almost surely, 2^{3850147914624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3850147914624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299040844800).

3850147914624 is an abundant number, since it is smaller than the sum of its proper divisors (8747933774976).

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

3850147914624 is a wasteful number, since it uses less digits than its factorization.

3850147914624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265983 (or 265962 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3850147914624 in words is "three trillion, eight hundred fifty billion, one hundred forty-seven million, nine hundred fourteen thousand, six hundred twenty-four".