3460421512400 has 120 divisors (see below), whose sum is σ = 8585386166784. Its totient is φ = 1338965337600.

The previous prime is 3460421512333. The next prime is 3460421512501. The reversal of 3460421512400 is 42151240643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30658469 + ... + 30771131.

Almost surely, 2^{3460421512400} 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 3460421512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292693083392).

3460421512400 is an abundant number, since it is smaller than the sum of its proper divisors (5124964654384).

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

3460421512400 is a wasteful number, since it uses less digits than its factorization.

3460421512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115189 (or 115178 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 3460421512400 in words is "three trillion, four hundred sixty billion, four hundred twenty-one million, five hundred twelve thousand, four hundred".