3756829680 has 160 divisors (see below), whose sum is σ = 13003096320. Its totient is φ = 996952320.

The previous prime is 3756829667. The next prime is 3756829697. The reversal of 3756829680 is 869286573.

It is a happy number.

It is a super-2 number, since 2×3756829680² = 28227538489057804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451639 + ... + 459881.

It is an arithmetic number, because the mean of its divisors is an integer number (81269352).

Almost surely, 2^3756829680 is an apocalyptic number.

3756829680 is a gapful number since it is divisible by the number (30) 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 3756829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501548160).

3756829680 is an abundant number, since it is smaller than the sum of its proper divisors (9246266640).

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

3756829680 is a wasteful number, since it uses less digits than its factorization.

3756829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8476 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3756829680 is about 61292.9823062967. The cubic root of 3756829680 is about 1554.5588544691.

The spelling of 3756829680 in words is "three billion, seven hundred fifty-six million, eight hundred twenty-nine thousand, six hundred eighty".