3719628480 has 168 divisors, whose sum is σ = 12465265392. Its totient is φ = 939608064.

The previous prime is 3719628469. The next prime is 3719628491. The reversal of 3719628480 is 848269173.

It is an interprime number because it is at equal distance from previous prime (3719628469) and next prime (3719628491).

It is a super-2 number, since 2×3719628480² = 27671272058454220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 341194 + ... + 351926.

Almost surely, 2^3719628480 is an apocalyptic number.

3719628480 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 3719628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232632696).

3719628480 is an abundant number, since it is smaller than the sum of its proper divisors (8745636912).

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

3719628480 is a wasteful number, since it uses less digits than its factorization.

3719628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 3719628480 is about 60988.7569966793. The cubic root of 3719628480 is about 1549.4105951861.

The spelling of 3719628480 in words is "three billion, seven hundred nineteen million, six hundred twenty-eight thousand, four hundred eighty".