350980379040 has 192 divisors, whose sum is σ = 1170878478336. Its totient is φ = 88189043712.

The previous prime is 350980379027. The next prime is 350980379047. The reversal of 350980379040 is 40973089053.

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

It is not an unprimeable number, because it can be changed into a prime (350980379047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502429 + ... + 976931.

It is an arithmetic number, because the mean of its divisors is an integer number (6098325408).

Almost surely, 2^350980379040 is an apocalyptic number.

350980379040 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 350980379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585439239168).

350980379040 is an abundant number, since it is smaller than the sum of its proper divisors (819898099296).

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

350980379040 is a wasteful number, since it uses less digits than its factorization.

350980379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474611 (or 474603 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 350980379040 in words is "three hundred fifty billion, nine hundred eighty million, three hundred seventy-nine thousand, forty".