739113984 has 440 divisors, whose sum is σ = 2694834560. Its totient is φ = 197074944.

The previous prime is 739113941. The next prime is 739113989. The reversal of 739113984 is 489311937.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739113989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11031519 + ... + 11031585.

It is an arithmetic number, because the mean of its divisors is an integer number (6124624).

Almost surely, 2^739113984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 739113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347417280).

739113984 is an abundant number, since it is smaller than the sum of its proper divisors (1955720576).

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

739113984 is a wasteful number, since it uses less digits than its factorization.

739113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 739113984 is about 27186.6508419114. The cubic root of 739113984 is about 904.1430321622.

The spelling of 739113984 in words is "seven hundred thirty-nine million, one hundred thirteen thousand, nine hundred eighty-four".