3429458250048 has 224 divisors, whose sum is σ = 10152744134400. Its totient is φ = 1135142443008.

The previous prime is 3429458250037. The next prime is 3429458250109. The reversal of 3429458250048 is 8400528549243.

3429458250048 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 4 + 582 + 50 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×3429458250048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3429458249976 and 3429458250003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308482186 + ... + 308493302.

It is an arithmetic number, because the mean of its divisors is an integer number (45324750600).

Almost surely, 2^{3429458250048} 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 3429458250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076372067200).

3429458250048 is an abundant number, since it is smaller than the sum of its proper divisors (6723285884352).

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

3429458250048 is a wasteful number, since it uses less digits than its factorization.

3429458250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12374 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 3429458250048 in words is "three trillion, four hundred twenty-nine billion, four hundred fifty-eight million, two hundred fifty thousand, forty-eight".