3658694400 has 432 divisors, whose sum is σ = 13869112320. Its totient is φ = 942796800.

The previous prime is 3658694381. The next prime is 3658694407. The reversal of 3658694400 is 44968563.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3658694407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5356459 + ... + 5357141.

Almost surely, 2^3658694400 is an apocalyptic number.

3658694400 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 3658694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934556160).

3658694400 is an abundant number, since it is smaller than the sum of its proper divisors (10210417920).

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

3658694400 is a wasteful number, since it uses less digits than its factorization.

3658694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3658694400 is about 60487.1424353970. The cubic root of 3658694400 is about 1540.9032762366.

The spelling of 3658694400 in words is "three billion, six hundred fifty-eight million, six hundred ninety-four thousand, four hundred".