354342771120 has 640 divisors, whose sum is σ = 1267118899200. Its totient is φ = 81247186944.

The previous prime is 354342771119. The next prime is 354342771149. The reversal of 354342771120 is 21177243453.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 537697351 + ... + 537698009.

It is an arithmetic number, because the mean of its divisors is an integer number (1979873280).

Almost surely, 2^354342771120 is an apocalyptic number.

354342771120 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 354342771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633559449600).

354342771120 is an abundant number, since it is smaller than the sum of its proper divisors (912776128080).

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

354342771120 is a wasteful number, since it uses less digits than its factorization.

354342771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 354342771120 in words is "three hundred fifty-four billion, three hundred forty-two million, seven hundred seventy-one thousand, one hundred twenty".