3802974336 has 192 divisors, whose sum is σ = 13165588800. Its totient is φ = 1029335040.

The previous prime is 3802974283. The next prime is 3802974379. The reversal of 3802974336 is 6334792083.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3802974336² = 28925227600549281792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3802974291 and 3802974300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140806 + ... + 165626.

It is an arithmetic number, because the mean of its divisors is an integer number (68570775).

Almost surely, 2^3802974336 is an apocalyptic number.

3802974336 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 3802974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582794400).

3802974336 is an abundant number, since it is smaller than the sum of its proper divisors (9362614464).

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

3802974336 is a wasteful number, since it uses less digits than its factorization.

3802974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24867 (or 24852 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3802974336 is about 61668.2603613885. The cubic root of 3802974336 is about 1560.8977869680.

The spelling of 3802974336 in words is "three billion, eight hundred two million, nine hundred seventy-four thousand, three hundred thirty-six".