3682961280 has 192 divisors, whose sum is σ = 12754422720. Its totient is φ = 979292160.

The previous prime is 3682961279. The next prime is 3682961297. The reversal of 3682961280 is 821692863.

3682961280 is a `hidden beast` number, since 3 + 6 + 8 + 29 + 612 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2666190 + ... + 2667570.

It is an arithmetic number, because the mean of its divisors is an integer number (66429285).

Almost surely, 2^3682961280 is an apocalyptic number.

3682961280 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 3682961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377211360).

3682961280 is an abundant number, since it is smaller than the sum of its proper divisors (9071461440).

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

3682961280 is a wasteful number, since it uses less digits than its factorization.

3682961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3682961280 is about 60687.4062718123. The cubic root of 3682961280 is about 1544.3025349698.

The spelling of 3682961280 in words is "three billion, six hundred eighty-two million, nine hundred sixty-one thousand, two hundred eighty".