3774326400 has 576 divisors, whose sum is σ = 15382687320. Its totient is φ = 872939520.

The previous prime is 3774326371. The next prime is 3774326429. The reversal of 3774326400 is 46234773.

It is a happy number.

3774326400 is a `hidden beast` number, since 3 + 7 + 7 + 4 + 3 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3774326371) and next prime (3774326429).

It can be written as a sum of positive squares in 12 ways, for example, as 251666496 + 3522659904 = 15864^2 + 59352^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6364504 + ... + 6365096.

Almost surely, 2^3774326400 is an apocalyptic number.

3774326400 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 3774326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7691343660).

3774326400 is an abundant number, since it is smaller than the sum of its proper divisors (11608360920).

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

3774326400 is a wasteful number, since it uses less digits than its factorization.

3774326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3774326400 is about 61435.5467136087. The cubic root of 3774326400 is about 1556.9684716596.

The spelling of 3774326400 in words is "three billion, seven hundred seventy-four million, three hundred twenty-six thousand, four hundred".