3734040960 has 384 divisors, whose sum is σ = 14194776960. Its totient is φ = 898744320.

The previous prime is 3734040943. The next prime is 3734040967. The reversal of 3734040960 is 690404373.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734040967) 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, 3518830 + ... + 3519890.

It is an arithmetic number, because the mean of its divisors is an integer number (36965565).

Almost surely, 2^3734040960 is an apocalyptic number.

3734040960 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 3734040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097388480).

3734040960 is an abundant number, since it is smaller than the sum of its proper divisors (10460736000).

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

3734040960 is a wasteful number, since it uses less digits than its factorization.

3734040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3734040960 is about 61106.7996216460. The cubic root of 3734040960 is about 1551.4091880930.

The spelling of 3734040960 in words is "three billion, seven hundred thirty-four million, forty thousand, nine hundred sixty".