3851407483920 has 480 divisors, whose sum is σ = 13367664352224. Its totient is φ = 993005568000.

The previous prime is 3851407483837. The next prime is 3851407483993. The reversal of 3851407483920 is 293847041583.

It is a happy number.

3851407483920 is a `hidden beast` number, since 3 + 8 + 514 + 0 + 74 + 8 + 39 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 45583958016 + 3805823525904 = 213504^2 + 1950852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4691117110 + ... + 4691117930.

Almost surely, 2^{3851407483920} is an apocalyptic number.

3851407483920 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 3851407483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683832176112).

3851407483920 is an abundant number, since it is smaller than the sum of its proper divisors (9516256868304).

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

3851407483920 is a wasteful number, since it uses less digits than its factorization.

3851407483920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1762 counting only the distinct ones).

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

The spelling of 3851407483920 in words is "three trillion, eight hundred fifty-one billion, four hundred seven million, four hundred eighty-three thousand, nine hundred twenty".