3407142045132 has 192 divisors, whose sum is σ = 10132437934080. Its totient is φ = 969886440000.

The previous prime is 3407142045029. The next prime is 3407142045137. The reversal of 3407142045132 is 2315402417043.

3407142045132 is a `hidden beast` number, since 3 + 407 + 14 + 204 + 5 + 1 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3407142045137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380639257 + ... + 380648207.

It is an arithmetic number, because the mean of its divisors is an integer number (52773114240).

Almost surely, 2^{3407142045132} 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 3407142045132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066218967040).

3407142045132 is an abundant number, since it is smaller than the sum of its proper divisors (6725295888948).

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

3407142045132 is a wasteful number, since it uses less digits than its factorization.

3407142045132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 3407142045132 in words is "three trillion, four hundred seven billion, one hundred forty-two million, forty-five thousand, one hundred thirty-two".