3739668480 has 208 divisors, whose sum is σ = 13296941760. Its totient is φ = 997097472.

The previous prime is 3739668461. The next prime is 3739668481. The reversal of 3739668480 is 848669373.

3739668480 is a `hidden beast` number, since 3 + 73 + 96 + 6 + 8 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739668481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549579 + ... + 556341.

Almost surely, 2^3739668480 is an apocalyptic number.

3739668480 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 3739668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648470880).

3739668480 is an abundant number, since it is smaller than the sum of its proper divisors (9557273280).

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

3739668480 is an equidigital number, since it uses as much as digits as its factorization.

3739668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6801 (or 6773 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3739668480 is about 61152.8288797828. The cubic root of 3739668480 is about 1552.1881657994.

The spelling of 3739668480 in words is "three billion, seven hundred thirty-nine million, six hundred sixty-eight thousand, four hundred eighty".