3814020672 has 336 divisors, whose sum is σ = 12972288000. Its totient is φ = 967633920.

The previous prime is 3814020659. The next prime is 3814020673. The reversal of 3814020672 is 2760204183.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3814020673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7643079 + ... + 7643577.

It is an arithmetic number, because the mean of its divisors is an integer number (38608000).

Almost surely, 2^3814020672 is an apocalyptic number.

3814020672 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 3814020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486144000).

3814020672 is an abundant number, since it is smaller than the sum of its proper divisors (9158267328).

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

3814020672 is a wasteful number, since it uses less digits than its factorization.

3814020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3814020672 is about 61757.7579903934. The cubic root of 3814020672 is about 1562.4076169550.

The spelling of 3814020672 in words is "three billion, eight hundred fourteen million, twenty thousand, six hundred seventy-two".