3862135274400 has 1584 divisors, whose sum is σ = 16080506094240. Its totient is φ = 897922713600.

The previous prime is 3862135274377. The next prime is 3862135274477. The reversal of 3862135274400 is 44725312683.

3862135274400 is a `hidden beast` number, since 3 + 8 + 6 + 213 + 5 + 27 + 4 + 400 = 666.

3862135274400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 11668082235 + ... + 11668082565.

Almost surely, 2^{3862135274400} is an apocalyptic number.

3862135274400 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 3862135274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040253047120).

3862135274400 is an abundant number, since it is smaller than the sum of its proper divisors (12218370819840).

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

3862135274400 is a wasteful number, since it uses less digits than its factorization.

3862135274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 3862135274400 in words is "three trillion, eight hundred sixty-two billion, one hundred thirty-five million, two hundred seventy-four thousand, four hundred".