3436739414400 has 1152 divisors, whose sum is σ = 12402041932800. Its totient is φ = 834419097600.

The previous prime is 3436739414399. The next prime is 3436739414413. The reversal of 3436739414400 is 44149376343.

It is a super-2 number, since 2×3436739414400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3436739414400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38615049556 + ... + 38615049644.

It is an arithmetic number, because the mean of its divisors is an integer number (10765661400).

Almost surely, 2^{3436739414400} is an apocalyptic number.

3436739414400 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 3436739414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201020966400).

3436739414400 is an abundant number, since it is smaller than the sum of its proper divisors (8965302518400).

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

3436739414400 is a wasteful number, since it uses less digits than its factorization.

3436739414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 3436739414400 in words is "three trillion, four hundred thirty-six billion, seven hundred thirty-nine million, four hundred fourteen thousand, four hundred".