3850973455392 has 288 divisors, whose sum is σ = 13249838528640. Its totient is φ = 1084780408320.

The previous prime is 3850973455387. The next prime is 3850973455403. The reversal of 3850973455392 is 2935543790583.

It is a happy number.

3850973455392 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 9 + 73 + 4 + 553 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365278 + ... + 3646434.

It is an arithmetic number, because the mean of its divisors is an integer number (46006383780).

Almost surely, 2^{3850973455392} is an apocalyptic number.

3850973455392 is a gapful number since it is divisible by the number (32) 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 3850973455392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624919264320).

3850973455392 is an abundant number, since it is smaller than the sum of its proper divisors (9398865073248).

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

3850973455392 is a wasteful number, since it uses less digits than its factorization.

3850973455392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281261 (or 1281240 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 3850973455392 in words is "three trillion, eight hundred fifty billion, nine hundred seventy-three million, four hundred fifty-five thousand, three hundred ninety-two".