354235245840 has 400 divisors, whose sum is σ = 1410117211008. Its totient is φ = 80735035392.

The previous prime is 354235245829. The next prime is 354235245899. The reversal of 354235245840 is 48542532453.

354235245840 is a `hidden beast` number, since 3 + 5 + 42 + 3 + 5 + 24 + 584 + 0 = 666.

It is a super-3 number, since 3×354235245840³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16001019 + ... + 16023141.

Almost surely, 2^354235245840 is an apocalyptic number.

354235245840 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 354235245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705058605504).

354235245840 is an abundant number, since it is smaller than the sum of its proper divisors (1055881965168).

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

354235245840 is a wasteful number, since it uses less digits than its factorization.

354235245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22508 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 354235245840 in words is "three hundred fifty-four billion, two hundred thirty-five million, two hundred forty-five thousand, eight hundred forty".