347387940000 has 360 divisors, whose sum is σ = 1280199080160. Its totient is φ = 92635488000.

The previous prime is 347387939981. The next prime is 347387940001. The reversal of 347387940000 is 49783743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (347387940001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4824261 + ... + 4895739.

It is an arithmetic number, because the mean of its divisors is an integer number (3556108556).

Almost surely, 2^347387940000 is an apocalyptic number.

347387940000 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 347387940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640099540080).

347387940000 is an abundant number, since it is smaller than the sum of its proper divisors (932811140160).

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

347387940000 is an frugal number, since it uses more digits than its factorization.

347387940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71524 (or 71489 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 347387940000 in words is "three hundred forty-seven billion, three hundred eighty-seven million, nine hundred forty thousand".