3814460672 has 72 divisors (see below), whose sum is σ = 8743496160. Its totient is φ = 1642567680.

The previous prime is 3814460659. The next prime is 3814460681. The reversal of 3814460672 is 2760644183.

It is a super-2 number, since 2×3814460672² = 29100220436469383168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17858 + ... + 89150.

Almost surely, 2^3814460672 is an apocalyptic number.

3814460672 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 3814460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371748080).

3814460672 is an abundant number, since it is smaller than the sum of its proper divisors (4929035488).

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

3814460672 is a wasteful number, since it uses less digits than its factorization.

3814460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71339 (or 71325 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 3814460672 is about 61761.3201931435. The cubic root of 3814460672 is about 1562.4676964159.

The spelling of 3814460672 in words is "three billion, eight hundred fourteen million, four hundred sixty thousand, six hundred seventy-two".