354105213840 has 320 divisors, whose sum is σ = 1399736363520. Its totient is φ = 80601661440.

The previous prime is 354105213829. The next prime is 354105213851. The reversal of 354105213840 is 48312501453.

354105213840 is a `hidden beast` number, since 3 + 54 + 1 + 0 + 521 + 3 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (354105213829) and next prime (354105213851).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354105213795 and 354105213804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3595332 + ... + 3692508.

It is an arithmetic number, because the mean of its divisors is an integer number (4374176136).

Almost surely, 2^354105213840 is an apocalyptic number.

354105213840 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 354105213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699868181760).

354105213840 is an abundant number, since it is smaller than the sum of its proper divisors (1045631149680).

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

354105213840 is a wasteful number, since it uses less digits than its factorization.

354105213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97447 (or 97435 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 354105213840 in words is "three hundred fifty-four billion, one hundred five million, two hundred thirteen thousand, eight hundred forty".