349272000000 has 2100 divisors, whose sum is σ = 1653642348732. Its totient is φ = 72576000000.

The previous prime is 349271999981. The next prime is 349272000019. The reversal of 349272000000 is 272943.

It is an interprime number because it is at equal distance from previous prime (349271999981) and next prime (349272000019).

It is a tau number, because it is divible by the number of its divisors (2100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 31751999995 + ... + 31752000005.

Almost surely, 2^349272000000 is an apocalyptic number.

349272000000 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 349272000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826821174366).

349272000000 is an abundant number, since it is smaller than the sum of its proper divisors (1304370348732).

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

349272000000 is an frugal number, since it uses more digits than its factorization.

349272000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 349272000000 its reverse (272943), we get a palindrome (349272272943).

The spelling of 349272000000 in words is "three hundred forty-nine billion, two hundred seventy-two million", and thus it is an aban number.