3034431572144 has 320 divisors, whose sum is σ = 7561125199872. Its totient is φ = 1149603840000.

The previous prime is 3034431572119. The next prime is 3034431572153. The reversal of 3034431572144 is 4412751344303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011138644 + ... + 1011141644.

Almost surely, 2^{3034431572144} is an apocalyptic number.

3034431572144 is a gapful number since it is divisible by the number (34) 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 3034431572144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780562599936).

3034431572144 is an abundant number, since it is smaller than the sum of its proper divisors (4526693627728).

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

3034431572144 is a wasteful number, since it uses less digits than its factorization.

3034431572144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

The spelling of 3034431572144 in words is "three trillion, thirty-four billion, four hundred thirty-one million, five hundred seventy-two thousand, one hundred forty-four".