350390187840 has 1344 divisors, whose sum is σ = 1521643822848. Its totient is φ = 67298918400.

The previous prime is 350390187809. The next prime is 350390187841. The reversal of 350390187840 is 48781093053.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 350390187840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350390187841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 536584954 + ... + 536585606.

Almost surely, 2^350390187840 is an apocalyptic number.

350390187840 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 350390187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760821911424).

350390187840 is an abundant number, since it is smaller than the sum of its proper divisors (1171253635008).

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

350390187840 is a wasteful number, since it uses less digits than its factorization.

350390187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 350390187840 in words is "three hundred fifty billion, three hundred ninety million, one hundred eighty-seven thousand, eight hundred forty".