3475778400 has 432 divisors, whose sum is σ = 12966670080. Its totient is φ = 874368000.

The previous prime is 3475778393. The next prime is 3475778429. The reversal of 3475778400 is 48775743.

3475778400 is a `hidden beast` number, since 34 + 7 + 577 + 8 + 40 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23018325 + ... + 23018475.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^3475778400 is an apocalyptic number.

3475778400 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 3475778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

3475778400 is an abundant number, since it is smaller than the sum of its proper divisors (9490891680).

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

3475778400 is a wasteful number, since it uses less digits than its factorization.

3475778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3475778400 is about 58955.7325456991. The cubic root of 3475778400 is about 1514.7839446169.

It can be divided in two parts, 3475 and 778400, that added together give a triangular number (781875 = T₁₂₅₀).

The spelling of 3475778400 in words is "three billion, four hundred seventy-five million, seven hundred seventy-eight thousand, four hundred".