3451578878160 has 240 divisors, whose sum is σ = 13248643234944. Its totient is φ = 788863546368.

The previous prime is 3451578878159. The next prime is 3451578878197. The reversal of 3451578878160 is 618788751543.

3451578878160 is a `hidden beast` number, since 3 + 4 + 51 + 578 + 8 + 7 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78062619 + ... + 78106821.

Almost surely, 2^{3451578878160} is an apocalyptic number.

3451578878160 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 3451578878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624321617472).

3451578878160 is an abundant number, since it is smaller than the sum of its proper divisors (9797064356784).

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

3451578878160 is a wasteful number, since it uses less digits than its factorization.

3451578878160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59722 (or 59713 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 3451578878160 in words is "three trillion, four hundred fifty-one billion, five hundred seventy-eight million, eight hundred seventy-eight thousand, one hundred sixty".