3726698976 has 768 divisors, whose sum is σ = 15173222400. Its totient is φ = 858470400.

The previous prime is 3726698939. The next prime is 3726699019. The reversal of 3726698976 is 6798966273.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26810715 + ... + 26810853.

It is an arithmetic number, because the mean of its divisors is an integer number (19756800).

Almost surely, 2^3726698976 is an apocalyptic number.

3726698976 is a gapful number since it is divisible by the number (36) 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 3726698976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586611200).

3726698976 is an abundant number, since it is smaller than the sum of its proper divisors (11446523424).

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

3726698976 is a wasteful number, since it uses less digits than its factorization.

3726698976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 3726698976 is about 61046.6950456779. The cubic root of 3726698976 is about 1550.3917117520.

The spelling of 3726698976 in words is "three billion, seven hundred twenty-six million, six hundred ninety-eight thousand, nine hundred seventy-six".