34003490400 has 432 divisors, whose sum is σ = 132669508608. Its totient is φ = 8125824000.

The previous prime is 34003490383. The next prime is 34003490407. The reversal of 34003490400 is 409430043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003490407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5620177 + ... + 5626223.

It is an arithmetic number, because the mean of its divisors is an integer number (307105344).

Almost surely, 2^34003490400 is an apocalyptic number.

34003490400 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 34003490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66334754304).

34003490400 is an abundant number, since it is smaller than the sum of its proper divisors (98666018208).

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

34003490400 is a wasteful number, since it uses less digits than its factorization.

34003490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34003490400 in words is "thirty-four billion, three million, four hundred ninety thousand, four hundred".