353794896 has 480 divisors, whose sum is σ = 1354080000. Its totient is φ = 85349376.

The previous prime is 353794891. The next prime is 353794913. The reversal of 353794896 is 698497353.

Its product of digits (4898880) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353794891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12199810 + ... + 12199838.

It is an arithmetic number, because the mean of its divisors is an integer number (2821000).

Almost surely, 2^353794896 is an apocalyptic number.

353794896 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 353794896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040000).

353794896 is an abundant number, since it is smaller than the sum of its proper divisors (1000285104).

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

353794896 is a wasteful number, since it uses less digits than its factorization.

353794896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 353794896 is about 18809.4363551915. The cubic root of 353794896 is about 707.2677481455.

The spelling of 353794896 in words is "three hundred fifty-three million, seven hundred ninety-four thousand, eight hundred ninety-six".