3734968320 has 576 divisors, whose sum is σ = 14309568000. Its totient is φ = 931627008.

The previous prime is 3734968313. The next prime is 3734968327. The reversal of 3734968320 is 238694373.

It is an interprime number because it is at equal distance from previous prime (3734968313) and next prime (3734968327).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734968327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47278041 + ... + 47278119.

It is an arithmetic number, because the mean of its divisors is an integer number (24843000).

Almost surely, 2^3734968320 is an apocalyptic number.

3734968320 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 3734968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784000).

3734968320 is an abundant number, since it is smaller than the sum of its proper divisors (10574599680).

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

3734968320 is an equidigital number, since it uses as much as digits as its factorization.

3734968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3734968320 is about 61114.3871768342. The cubic root of 3734968320 is about 1551.5376097996.

The spelling of 3734968320 in words is "three billion, seven hundred thirty-four million, nine hundred sixty-eight thousand, three hundred twenty".