3431435007000 has 1536 divisors, whose sum is σ = 14692213186560. Its totient is φ = 648705024000.

The previous prime is 3431435006977. The next prime is 3431435007017. The reversal of 3431435007000 is 7005341343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2411408289 + ... + 2411409711.

It is an arithmetic number, because the mean of its divisors is an integer number (9565242960).

Almost surely, 2^{3431435007000} is an apocalyptic number.

3431435007000 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 3431435007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346106593280).

3431435007000 is an abundant number, since it is smaller than the sum of its proper divisors (11260778179560).

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

3431435007000 is a wasteful number, since it uses less digits than its factorization.

3431435007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 3431435007000 in words is "three trillion, four hundred thirty-one billion, four hundred thirty-five million, seven thousand".