349526016 has 360 divisors, whose sum is σ = 1242701460. Its totient is φ = 97542144.

The previous prime is 349526003. The next prime is 349526039. The reversal of 349526016 is 610625943.

It is a happy number.

349526016 is a `hidden beast` number, since 3 + 49 + 5 + 2 + 601 + 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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128491 + ... + 8128533.

Almost surely, 2^349526016 is an apocalyptic number.

349526016 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 349526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621350730).

349526016 is an abundant number, since it is smaller than the sum of its proper divisors (893175444).

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

349526016 is an equidigital number, since it uses as much as digits as its factorization.

349526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 349526016 is about 18695.6148869193. The cubic root of 349526016 is about 704.4116050316.

The spelling of 349526016 in words is "three hundred forty-nine million, five hundred twenty-six thousand, sixteen".