3896145792 has 384 divisors, whose sum is σ = 14455929600. Its totient is φ = 1011985920.

The previous prime is 3896145787. The next prime is 3896145829. The reversal of 3896145792 is 2975416983.

3896145792 is a `hidden beast` number, since 3 + 8 + 9 + 61 + 4 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 354195067 + ... + 354195077.

It is an arithmetic number, because the mean of its divisors is an integer number (37645650).

Almost surely, 2^3896145792 is an apocalyptic number.

3896145792 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 3896145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227964800).

3896145792 is an abundant number, since it is smaller than the sum of its proper divisors (10559783808).

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

3896145792 is an frugal number, since it uses more digits than its factorization.

3896145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3896145792 is about 62419.1139956344. The cubic root of 3896145792 is about 1573.5422193850.

The spelling of 3896145792 in words is "three billion, eight hundred ninety-six million, one hundred forty-five thousand, seven hundred ninety-two".