3948436800 has 672 divisors, whose sum is σ = 17960279040. Its totient is φ = 819763200.

The previous prime is 3948436699. The next prime is 3948436823. The reversal of 3948436800 is 86348493.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3325807 + ... + 3326993.

Almost surely, 2^3948436800 is an apocalyptic number.

3948436800 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 3948436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980139520).

3948436800 is an abundant number, since it is smaller than the sum of its proper divisors (14011842240).

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

3948436800 is a wasteful number, since it uses less digits than its factorization.

3948436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3948436800 is about 62836.5880677810. The cubic root of 3948436800 is about 1580.5505745588.

The spelling of 3948436800 in words is "three billion, nine hundred forty-eight million, four hundred thirty-six thousand, eight hundred".