3801896352 has 144 divisors (see below), whose sum is σ = 11802641760. Its totient is φ = 1200552192.

The previous prime is 3801896341. The next prime is 3801896363. The reversal of 3801896352 is 2536981083.

It is a happy number.

3801896352 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 8 + 9 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3801896341) and next prime (3801896363).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3801896298 and 3801896307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134878 + ... + 160610.

It is an arithmetic number, because the mean of its divisors is an integer number (81962790).

Almost surely, 2^3801896352 is an apocalyptic number.

3801896352 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 3801896352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901320880).

3801896352 is an abundant number, since it is smaller than the sum of its proper divisors (8000745408).

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

3801896352 is a wasteful number, since it uses less digits than its factorization.

3801896352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25777 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3801896352 is about 61659.5195569995. The cubic root of 3801896352 is about 1560.7502899739.

The spelling of 3801896352 in words is "three billion, eight hundred one million, eight hundred ninety-six thousand, three hundred fifty-two".