3404538680400 has 3840 divisors, whose sum is σ = 16069371494400. Its totient is φ = 671514624000.

The previous prime is 3404538680381. The next prime is 3404538680419. The reversal of 3404538680400 is 40868354043.

3404538680400 is a `hidden beast` number, since 3 + 4 + 0 + 453 + 86 + 80 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3404538680381) and next prime (3404538680419).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 38253243556 + ... + 38253243644.

It is an arithmetic number, because the mean of its divisors is an integer number (4184732160).

Almost surely, 2^{3404538680400} is an apocalyptic number.

3404538680400 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 3404538680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034685747200).

3404538680400 is an abundant number, since it is smaller than the sum of its proper divisors (12664832814000).

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

3404538680400 is a wasteful number, since it uses less digits than its factorization.

3404538680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3404538680400 in words is "three trillion, four hundred four billion, five hundred thirty-eight million, six hundred eighty thousand, four hundred".