354005631000 has 768 divisors, whose sum is σ = 1399230443520. Its totient is φ = 79056000000.

The previous prime is 354005630977. The next prime is 354005631011. The reversal of 354005631000 is 136500453.

It is a super-2 number, since 2×354005631000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 964592817 + ... + 964593183.

It is an arithmetic number, because the mean of its divisors is an integer number (1821914640).

Almost surely, 2^354005631000 is an apocalyptic number.

354005631000 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 354005631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699615221760).

354005631000 is an abundant number, since it is smaller than the sum of its proper divisors (1045224812520).

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

354005631000 is a wasteful number, since it uses less digits than its factorization.

354005631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 354005631000 in words is "three hundred fifty-four billion, five million, six hundred thirty-one thousand".