3837460416 has 56 divisors (see below), whose sum is σ = 10184123904. Its totient is φ = 1275267840.

The previous prime is 3837460399. The next prime is 3837460427. The reversal of 3837460416 is 6140647383.

It is a happy number.

It is a super-2 number, since 2×3837460416² = 29452204888733786112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33361 + ... + 93743.

Almost surely, 2^3837460416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3837460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092061952).

3837460416 is an abundant number, since it is smaller than the sum of its proper divisors (6346663488).

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

3837460416 is a wasteful number, since it uses less digits than its factorization.

3837460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60729 (or 60719 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3837460416 is about 61947.2389699493. The cubic root of 3837460416 is about 1565.6017673088.

It can be divided in two parts, 38374 and 60416, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 3837460416 in words is "three billion, eight hundred thirty-seven million, four hundred sixty thousand, four hundred sixteen".