3469690778400 has 2592 divisors, whose sum is σ = 16610304372480. Its totient is φ = 665067110400.

The previous prime is 3469690778363. The next prime is 3469690778431. The reversal of 3469690778400 is 48770969643.

3469690778400 is a `hidden beast` number, since 3 + 469 + 6 + 90 + 7 + 7 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4067632374 + ... + 4067633226.

It is an arithmetic number, because the mean of its divisors is an integer number (6408296440).

Almost surely, 2^{3469690778400} is an apocalyptic number.

3469690778400 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 3469690778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305152186240).

3469690778400 is an abundant number, since it is smaller than the sum of its proper divisors (13140613594080).

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

3469690778400 is a wasteful number, since it uses less digits than its factorization.

3469690778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 3469690778400 in words is "three trillion, four hundred sixty-nine billion, six hundred ninety million, seven hundred seventy-eight thousand, four hundred".