3734007333732 has 384 divisors, whose sum is σ = 10666567242240. Its totient is φ = 1136764108800.

The previous prime is 3734007333701. The next prime is 3734007333737. The reversal of 3734007333732 is 2373337004373.

It is not an unprimeable number, because it can be changed into a prime (3734007333737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5825284132 + ... + 5825284772.

It is an arithmetic number, because the mean of its divisors is an integer number (27777518860).

Almost surely, 2^{3734007333732} 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 3734007333732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333283621120).

3734007333732 is an abundant number, since it is smaller than the sum of its proper divisors (6932559908508).

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

3734007333732 is a wasteful number, since it uses less digits than its factorization.

3734007333732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 45.

The spelling of 3734007333732 in words is "three trillion, seven hundred thirty-four billion, seven million, three hundred thirty-three thousand, seven hundred thirty-two".