354036816 has 120 divisors (see below), whose sum is σ = 1151741760. Its totient is φ = 99422208.

The previous prime is 354036811. The next prime is 354036829. The reversal of 354036816 is 618630453.

354036816 is a `hidden beast` number, since 3 + 540 + 36 + 81 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354036811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56496 + ... + 62448.

It is an arithmetic number, because the mean of its divisors is an integer number (9597848).

Almost surely, 2^354036816 is an apocalyptic number.

354036816 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 354036816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575870880).

354036816 is an abundant number, since it is smaller than the sum of its proper divisors (797704944).

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

354036816 is a wasteful number, since it uses less digits than its factorization.

354036816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6024 counting only the distinct ones).

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

The square root of 354036816 is about 18815.8660709519. The cubic root of 354036816 is about 707.4289180128.

The spelling of 354036816 in words is "three hundred fifty-four million, thirty-six thousand, eight hundred sixteen".