3460598472000 has 448 divisors, whose sum is σ = 12107427022080. Its totient is φ = 867942400000.

The previous prime is 3460598471959. The next prime is 3460598472031. The reversal of 3460598472000 is 2748950643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1064470375 + ... + 1064473625.

Almost surely, 2^{3460598472000} is an apocalyptic number.

3460598472000 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 3460598472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053713511040).

3460598472000 is an abundant number, since it is smaller than the sum of its proper divisors (8646828550080).

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

3460598472000 is a wasteful number, since it uses less digits than its factorization.

3460598472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3460598472000 in words is "three trillion, four hundred sixty billion, five hundred ninety-eight million, four hundred seventy-two thousand".