334535384040 has 384 divisors, whose sum is σ = 1194751555200. Its totient is φ = 74435328000.

The previous prime is 334535384039. The next prime is 334535384069. The reversal of 334535384040 is 40483535433.

It is a super-2 number, since 2×334535384040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334535383983 and 334535384001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33783090 + ... + 33792990.

It is an arithmetic number, because the mean of its divisors is an integer number (3111332175).

Almost surely, 2^334535384040 is an apocalyptic number.

334535384040 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 334535384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597375777600).

334535384040 is an abundant number, since it is smaller than the sum of its proper divisors (860216171160).

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

334535384040 is a wasteful number, since it uses less digits than its factorization.

334535384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 334535384040 in words is "three hundred thirty-four billion, five hundred thirty-five million, three hundred eighty-four thousand, forty".