3668981940 has 192 divisors, whose sum is σ = 12355902720. Its totient is φ = 898490880.

The previous prime is 3668981933. The next prime is 3668981963. The reversal of 3668981940 is 491898663.

3668981940 is a `hidden beast` number, since 366 + 8 + 98 + 194 + 0 = 666.

It is a super-2 number, since 2×3668981940² = 26922856952092327200, 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 63 ways as a sum of consecutive naturals, for example, 1479982 + ... + 1482458.

It is an arithmetic number, because the mean of its divisors is an integer number (64353660).

Almost surely, 2^3668981940 is an apocalyptic number.

3668981940 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 3668981940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177951360).

3668981940 is an abundant number, since it is smaller than the sum of its proper divisors (8686920780).

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

3668981940 is a wasteful number, since it uses less digits than its factorization.

3668981940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3668981940 is about 60572.1218053322. The cubic root of 3668981940 is about 1542.3461652240.

The spelling of 3668981940 in words is "three billion, six hundred sixty-eight million, nine hundred eighty-one thousand, nine hundred forty".