3470993670144 has 1920 divisors, whose sum is σ = 13528734105600. Its totient is φ = 761863864320.

The previous prime is 3470993670127. The next prime is 3470993670149. The reversal of 3470993670144 is 4410763990743.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3470993670149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43936628697 + ... + 43936628775.

It is an arithmetic number, because the mean of its divisors is an integer number (7046215680).

Almost surely, 2^{3470993670144} 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 3470993670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764367052800).

3470993670144 is an abundant number, since it is smaller than the sum of its proper divisors (10057740435456).

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

3470993670144 is a wasteful number, since it uses less digits than its factorization.

3470993670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 3470993670144 in words is "three trillion, four hundred seventy billion, nine hundred ninety-three million, six hundred seventy thousand, one hundred forty-four".