3504078950400 has 1872 divisors, whose sum is σ = 15401019628800. Its totient is φ = 743272611840.

The previous prime is 3504078950371. The next prime is 3504078950401. The reversal of 3504078950400 is 40598704053.

3504078950400 is a `hidden beast` number, since 3 + 50 + 40 + 78 + 95 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504078950401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9760665421 + ... + 9760665779.

It is an arithmetic number, because the mean of its divisors is an integer number (8227040400).

Almost surely, 2^{3504078950400} is an apocalyptic number.

3504078950400 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 3504078950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700509814400).

3504078950400 is an abundant number, since it is smaller than the sum of its proper divisors (11896940678400).

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

3504078950400 is a wasteful number, since it uses less digits than its factorization.

3504078950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3504078950400 in words is "three trillion, five hundred four billion, seventy-eight million, nine hundred fifty thousand, four hundred".