3961742400 has 840 divisors, whose sum is σ = 18201412416. Its totient is φ = 821145600.

The previous prime is 3961742333. The next prime is 3961742413. The reversal of 3961742400 is 42471693.

3961742400 is a `hidden beast` number, since 39 + 617 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 9979002 + ... + 9979398.

Almost surely, 2^3961742400 is an apocalyptic number.

3961742400 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 3961742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100706208).

3961742400 is an abundant number, since it is smaller than the sum of its proper divisors (14239670016).

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

3961742400 is a wasteful number, since it uses less digits than its factorization.

3961742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3961742400 is about 62942.3736444694. The cubic root of 3961742400 is about 1582.3239848257.

The spelling of 3961742400 in words is "three billion, nine hundred sixty-one million, seven hundred forty-two thousand, four hundred".