354119040 has 512 divisors, whose sum is σ = 1445299200. Its totient is φ = 82114560.

The previous prime is 354119039. The next prime is 354119089. The reversal of 354119040 is 40911453.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 354118995 and 354119013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396469 + ... + 15396491.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^354119040 is an apocalyptic number.

354119040 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 354119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722649600).

354119040 is an abundant number, since it is smaller than the sum of its proper divisors (1091180160).

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

354119040 is an equidigital number, since it uses as much as digits as its factorization.

354119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 354119040 is about 18818.0509086356. The cubic root of 354119040 is about 707.4836798626.

The spelling of 354119040 in words is "three hundred fifty-four million, one hundred nineteen thousand, forty".