349542005365440 has 448 divisors, whose sum is σ = 1244153781659520. Its totient is φ = 92376312053760.

The previous prime is 349542005365429. The next prime is 349542005365507. The reversal of 349542005365440 is 44563500245943.

349542005365440 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 42 + 0 + 0 + 53 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×349542005365440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14762922882 + ... + 14762946558.

Almost surely, 2^{349542005365440} is an apocalyptic number.

349542005365440 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 349542005365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622076890829760).

349542005365440 is an abundant number, since it is smaller than the sum of its proper divisors (894611776294080).

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

349542005365440 is a wasteful number, since it uses less digits than its factorization.

349542005365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38937 (or 38921 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 349542005365440 in words is "three hundred forty-nine trillion, five hundred forty-two billion, five million, three hundred sixty-five thousand, four hundred forty".