3416367233004 has 192 divisors, whose sum is σ = 9409045266432. Its totient is φ = 953087616000.

The previous prime is 3416367232997. The next prime is 3416367233057. The reversal of 3416367233004 is 4003327636143.

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, 205759767 + ... + 205776369.

It is an arithmetic number, because the mean of its divisors is an integer number (49005444096).

Almost surely, 2^{3416367233004} is an apocalyptic number.

3416367233004 is a gapful number since it is divisible by the number (34) 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 3416367233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704522633216).

3416367233004 is an abundant number, since it is smaller than the sum of its proper divisors (5992678033428).

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

3416367233004 is a wasteful number, since it uses less digits than its factorization.

3416367233004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18636 (or 18634 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

The spelling of 3416367233004 in words is "three trillion, four hundred sixteen billion, three hundred sixty-seven million, two hundred thirty-three thousand, four".