354803616 has 72 divisors (see below), whose sum is σ = 1016346240. Its totient is φ = 117403776.

The previous prime is 354803591. The next prime is 354803641. The reversal of 354803616 is 616308453.

354803616 is a `hidden beast` number, since 35 + 4 + 8 + 0 + 3 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (354803591) and next prime (354803641).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35601 + ... + 44463.

It is an arithmetic number, because the mean of its divisors is an integer number (14115920).

Almost surely, 2^354803616 is an apocalyptic number.

354803616 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 354803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508173120).

354803616 is an abundant number, since it is smaller than the sum of its proper divisors (661542624).

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

354803616 is a wasteful number, since it uses less digits than its factorization.

354803616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 354803616 is about 18836.2314702278. The cubic root of 354803616 is about 707.9392842696.

The spelling of 354803616 in words is "three hundred fifty-four million, eight hundred three thousand, six hundred sixteen".