3978374400 has 1728 divisors, whose sum is σ = 20438691840. Its totient is φ = 729907200.

The previous prime is 3978374381. The next prime is 3978374417. The reversal of 3978374400 is 44738793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 172972789 + ... + 172972811.

Almost surely, 2^3978374400 is an apocalyptic number.

3978374400 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 3978374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219345920).

3978374400 is an abundant number, since it is smaller than the sum of its proper divisors (16460317440).

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

3978374400 is a wasteful number, since it uses less digits than its factorization.

3978374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3978374400 is about 63074.3561203759. The cubic root of 3978374400 is about 1584.5351727007.

The spelling of 3978374400 in words is "three billion, nine hundred seventy-eight million, three hundred seventy-four thousand, four hundred".