354859940736 has 256 divisors, whose sum is σ = 1212105984000. Its totient is φ = 100104615936.

The previous prime is 354859940731. The next prime is 354859940761. The reversal of 354859940736 is 637049958453.

354859940736 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 599 + 4 + 0 + 7 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354859940731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818330 + ... + 2004006.

It is an arithmetic number, because the mean of its divisors is an integer number (4734789000).

Almost surely, 2^354859940736 is an apocalyptic number.

354859940736 is a gapful number since it is divisible by the number (36) 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 354859940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606052992000).

354859940736 is an abundant number, since it is smaller than the sum of its proper divisors (857246043264).

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

354859940736 is a wasteful number, since it uses less digits than its factorization.

354859940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185786 (or 185768 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 354859940736 in words is "three hundred fifty-four billion, eight hundred fifty-nine million, nine hundred forty thousand, seven hundred thirty-six".