3439732380000 has 1440 divisors, whose sum is σ = 13655074777344. Its totient is φ = 755080704000.

The previous prime is 3439732379989. The next prime is 3439732380001. The reversal of 3439732380000 is 832379343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439732380001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11204339847 + ... + 11204340153.

Almost surely, 2^{3439732380000} is an apocalyptic number.

3439732380000 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 3439732380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827537388672).

3439732380000 is an abundant number, since it is smaller than the sum of its proper divisors (10215342397344).

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

3439732380000 is a wasteful number, since it uses less digits than its factorization.

3439732380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 3439732380000 in words is "three trillion, four hundred thirty-nine billion, seven hundred thirty-two million, three hundred eighty thousand".