3801814272 has 144 divisors (see below), whose sum is σ = 11834760000. Its totient is φ = 1200531456.

The previous prime is 3801814259. The next prime is 3801814297. The reversal of 3801814272 is 2724181083.

3801814272 is a `hidden beast` number, since 380 + 1 + 8 + 1 + 4 + 272 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116854 + ... + 145802.

Almost surely, 2^3801814272 is an apocalyptic number.

3801814272 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 3801814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917380000).

3801814272 is an abundant number, since it is smaller than the sum of its proper divisors (8032945728).

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

3801814272 is a wasteful number, since it uses less digits than its factorization.

3801814272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28993 (or 28973 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3801814272 is about 61658.8539627522. The cubic root of 3801814272 is about 1560.7390580961.

The spelling of 3801814272 in words is "three billion, eight hundred one million, eight hundred fourteen thousand, two hundred seventy-two".